Arithmetic Progression real life problems

Example – 1: Jhon put ₹ 800 into his son’s kiddy bank when he was one year old and increased the amount by 1000 every year. Find the amount of money in the kiddy bank on her on his 1st, 2nd, 3rd, 4th, . . . . . birthday

Solution: Here a = 800 and d = 1000

General form of A.P is a, a+d, a+2d, a+3d, . . . . . . . . .

So the sequence is 800, 1800, 2800, 3800, 4800, . . . . . . .

Example – 2: Cab/Taxi Rental Rates after each km when the fare is ₹ 30 for the first km and raise by 12 for each additional km. what will be the charge after traveling of 50km

Solution: Here a = 30 and d = 12 and nth term is 50

nth term = a + ( n-1)d

So 50th term = 30 + ( 50-1)12 = ₹618

Example – 3: The cost of borewell drilling cost per feet is ₹1000 for first feet and rises by ₹250 for each subsequent feet. Find the charge when good water found after digging borewell about 161 feet.